In the intervening years, his work has touched on the areas of probability, ergodic theory, and most importantly, harmonic analysis.

A somewhat related meaning is explained at ergodic theory.

His main scientific interest during these years was in ergodic theory and dynamical systems.

He has made notable contributions in set theory and in ergodic theory.

In the late 1980s Foreman became interested in measure theory and ergodic theory.

Several kinds of mixing are used in ergodic theory and probability theory.

John von Neumann makes foundational contributions to ergodic theory in a series of papers.

This is a typical situation in ergodic theory.

Different definitions of the average may be used, depending on the subject of study, see ergodic theory:

There are also related mathematical results in symplectic topology and ergodic theory.